E-Maths: Temperature & Height of Mountain

This concept which I’m discussing in this question is common in E-Maths Paper 1.

Just pay attention that we’re using difference in temperatures compared to height of mountain.

General knowledge: As we ascend the mountain, the temperature drops. In other words, the higher you’re on a mountain, the colder it gets.

I hope you find the step by step solution easy to understand.

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7 Responses to E-Maths: Temperature & Height of Mountain
  1. Han Zhihao
    August 26, 2011 | 2:34 pm

    An alternative is to plot a graph and everything becomes simple!

    Reply

  2. edmund
    August 26, 2011 | 3:58 pm

    can we use gradient to find the temperature instead?

    Reply

    edmund Reply:

    i dont know how to attach the image file here. roughly the steps are:
    1) sketch the graph of ht vs temp. Indicate three points: A(-16,3250); B(-10, h) & C(10,0) on the linear line, where h denotes the ht at -10 deg. C

    2) calcuate for h :

    gradient AB = gradient AC
    (h-3250)/[(-10-(-16)] = (3250-0)/(-16-10)
    h-3250 = -750
    so, h = 2500 metres

    Reply

  3. Han Zhihao
    August 28, 2011 | 5:13 pm

    That’s insufficient. Form a table first. For me, I use x-axis as ht, y-axis as temp.Sketch the graph. From there, construct the y=mx+c equation. Sub in the y value and you will get the x!

    ps:This method is ‘widely used’ in lab, where they put in a value into the computer and they get the end result!

    Reply

  4. Han Zhihao
    August 28, 2011 | 5:16 pm

    The type of questions that have a hint of direct proportion indicates the use of this method. Might be a bit longwinded but will ease confusion.

    Reply

  5. huining
    August 30, 2011 | 8:42 pm

    how do i deal with this qns if they asked ! what is the temperature at for instance 1500 m ! can you demonstrate it here!urgent!damn weak in this

    Reply

  6. Han Zhihao
    September 5, 2011 | 1:42 pm

    Also can.

    Reply

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